I think Inter main target this season is more likely to be Serie A champions. Indeed, they will continue to play with their best performance to still qualify for the next round in the UCL. However, the race for the Serie A title is currently quite hot considering the gap in points between Inter and several clubs below it is quite close. If they fail to focus because of the several tournaments they participate in, their chances in Serie A will also have potential to be lost. since AC Milan only fokus in Serie-A now.
They will have more concentration for Champions League but I agree that they are realistic that Champions League is a very hard competition, very difficult to win so that they will not bet all resources for it. Serie A will be main priority, next Champions League. Even so, Inter Milan will have to decentralize resources for both. It they can go to quarter or semi final, AC Milan will have more advantage in Serie A. Let's see.
I also think that the main priority for Inter is Serie A. In the Champions League, things will go randomly, so it’s better to rely on the tournament where Inter already has an advantage and all you need to win is just to play well further, without fear of being destroyed in some round playoffs. Yesterday's victory is extremely important in terms of the fact that Inter defeated the eminent competitor, plus knocked him down - after winning yesterday (if it had taken place), Juventus could have received a huge moral boost.
Because of difference in priorities and strategic plans, Conte left the club. Anyway, Simeone Inzaghi by any way, has managed the club with better results in Champions League than Conte.
Juventus players did not want to accept that defeat in very last minutes. They were so angry when the match ended. However this result shows that Juventus are back to the top and they are not too far in performance than Inter Milan or AC Milan. They might not be able to get Scudetto because of bad results in early of the season but other clubs will have to be careful with Juventus. They will do their best to join top 4.